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Finding the Fourth Proportional to 20,884.98, 31,326.32 and 6,843.22

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Solution

The fourth proportional to 20,884.98, 31,326.32 and 6,843.22 is: 10,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.98 : 31,326.32 = 6,843.22 : x
  2. Step 2: Convert to fraction form
    20,884.98/31,326.32 = 6,843.22/x
  3. Step 3: Cross multiply
    20,884.98x = 31,326.32 × 6,843.22
  4. Step 4: Simplify right side
    20,884.98x = 214,372,899.55
  5. Step 5: Solve for x
    x = 214,372,899.55/20,884.98
  6. Step 6: Final answer
    x = 10,264.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.